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Finding the Fourth Proportional to 530.56, 796.16 and 287.08

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Solution

The fourth proportional to 530.56, 796.16 and 287.08 is: 430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.56 : 796.16 = 287.08 : x
  2. Step 2: Convert to fraction form
    530.56/796.16 = 287.08/x
  3. Step 3: Cross multiply
    530.56x = 796.16 × 287.08
  4. Step 4: Simplify right side
    530.56x = 228,561.61
  5. Step 5: Solve for x
    x = 228,561.61/530.56
  6. Step 6: Final answer
    x = 430.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.